The Hodge Operator Revisited

Published 16 Nov 2015 in hep-th, math-ph, and math.MP | (1511.05105v2)

Abstract: We present a new construction for the Hodge operator for differential manifolds based on a Fourier (Berezin)-integral representation. We find a simple formula for the Hodge dual of the wedge product of differential forms, using the (Berezin)-convolution. The present analysis is easily extended to supergeometry and to non-commutative geometry.

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